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Theorem add-eq2pot-01
⊦ 0 ≤ j ∧ 0 ≤ i ∧ 0 ≤ i0 → (2 * 2 ^ i = 2 ^ i0 + j ↔ j = 2 ^ i0 * (2 ^ (i + 1 - i0) - 1) ∧ i0 ≤ i + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas:
add-eq2pot
,
succ
,
Used spec theorems:
Used simplifier rules:
int-abs
/
elim-sub
int-mult
/
commutativity
int-abs
/
numle-02
int-abs
/
numleledel-01
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
sub-add
int-abs
/
lep
int-abs
/
forward-le-01
int-abs
/
numsub
int-basic2
/
add-zero-rev
int-abs
/
zero-gels-04